Question

A line with a slope of 4 passes through the point 2,1 what is the equation y=mx+b

Answer 1

The point-slope form:

$y-y_1=m(x-x_1)$

We have the slope m = 4 and the point (2, 1). Substitute:

$y-1=4(x-2)$      use distributive property

$y-1=(4)(x)+(4)(-2)$

$y-1=4x-8$        add 1 to both sides

$\boxed{y=4x-7}$